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Due to the inherent statistics of the primary electron generation, the intrinsic spatial resolution of the ROSAT PSPC is expected to be a Gaussian. Theoretically its width is and independent of . All photons not in the other two components are assumed to be in this component. Thus the fraction of photons within this component as a function of energy is given by:

Note that this becomes zero above 2 keV from equation 10.

The derived analytical form for the width of the detector gaussian, , as a function of energy is given by:

The analytical form for the Gaussian mirror blur is

These two Gaussian widths are combined as follows:

The normalization, , is given by

where the denominator is the renormalization factor such that the integral over the range equals .

This model has been tested against in-flight data and the model and test results are written up in [Hasinger et al.1993].

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